(6q+1)(q-5)=

Solution for (6q+1)(q-5)= equation:

Simplifying
(6q + 1)(q + -5) = 0

Reorder the terms:
(1 + 6q)(q + -5) = 0

Reorder the terms:
(1 + 6q)(-5 + q) = 0

Multiply (1 + 6q) * (-5 + q)
(1(-5 + q) + 6q * (-5 + q)) = 0
((-5 * 1 + q * 1) + 6q * (-5 + q)) = 0
((-5 + 1q) + 6q * (-5 + q)) = 0
(-5 + 1q + (-5 * 6q + q * 6q)) = 0
(-5 + 1q + (-30q + 6q2)) = 0

Combine like terms: 1q + -30q = -29q
(-5 + -29q + 6q2) = 0

Solving
-5 + -29q + 6q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-1 + -6q)(5 + -1q) = 0

Subproblem 1
Set the factor '(-1 + -6q)' equal to zero and attempt to solve:

Simplifying
-1 + -6q = 0

Solving
-1 + -6q = 0

Move all terms containing q to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -6q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6q = 0 + 1
-6q = 0 + 1

Combine like terms: 0 + 1 = 1
-6q = 1

Divide each side by '-6'.
q = -0.1666666667

Simplifying
q = -0.1666666667
Subproblem 2
Set the factor '(5 + -1q)' equal to zero and attempt to solve:

Simplifying
5 + -1q = 0

Solving
5 + -1q = 0

Move all terms containing q to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 0 + -5
-1q = 0 + -5

Combine like terms: 0 + -5 = -5
-1q = -5

Divide each side by '-1'.
q = 5

Simplifying
q = 5
Solution
q = {-0.1666666667, 5}